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Finding the Fourth Proportional to 8,049.82, 12,078.20 and 4,354.65

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Solution

The fourth proportional to 8,049.82, 12,078.20 and 4,354.65 is: 6,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.82 : 12,078.20 = 4,354.65 : x
  2. Step 2: Convert to fraction form
    8,049.82/12,078.20 = 4,354.65/x
  3. Step 3: Cross multiply
    8,049.82x = 12,078.20 × 4,354.65
  4. Step 4: Simplify right side
    8,049.82x = 52,596,321.87
  5. Step 5: Solve for x
    x = 52,596,321.87/8,049.82
  6. Step 6: Final answer
    x = 6,533.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.